Search a number
-
+
122012020 = 225131632879
BaseRepresentation
bin1110100010111…
…00000101110100
322111120212000201
413101130011310
5222213341040
620035050244
73011041114
oct721340564
9274525021
10122012020
1162966489
1234a40984
131c37c980
14122c1044
15aaa1a9a
hex745c174

122012020 has 48 divisors (see below), whose sum is σ = 277724160. Its totient is φ = 44758656.

The previous prime is 122011999. The next prime is 122012021. The reversal of 122012020 is 20210221.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a junction number, because it is equal to n+sod(n) for n = 122011988 and 122012006.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122012021) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 40941 + ... + 43819.

It is an arithmetic number, because the mean of its divisors is an integer number (5785920).

Almost surely, 2122012020 is an apocalyptic number.

122012020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 122012020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138862080).

122012020 is an abundant number, since it is smaller than the sum of its proper divisors (155712140).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

122012020 is a wasteful number, since it uses less digits than its factorization.

122012020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3064 (or 3062 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 10.

The square root of 122012020 is about 11045.9051236193. The cubic root of 122012020 is about 495.9838541831.

Adding to 122012020 its reverse (20210221), we get a palindrome (142222241).

The spelling of 122012020 in words is "one hundred twenty-two million, twelve thousand, twenty".

Divisors: 1 2 4 5 10 13 20 26 52 65 130 163 260 326 652 815 1630 2119 2879 3260 4238 5758 8476 10595 11516 14395 21190 28790 37427 42380 57580 74854 149708 187135 374270 469277 748540 938554 1877108 2346385 4692770 6100601 9385540 12201202 24402404 30503005 61006010 122012020